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Finding the Fourth Proportional to 595,271.64, 821,484.80 and 323,340.06

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Solution

The fourth proportional to 595,271.64, 821,484.80 and 323,340.06 is: 446,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,271.64 : 821,484.80 = 323,340.06 : x
  2. Step 2: Convert to fraction form
    595,271.64/821,484.80 = 323,340.06/x
  3. Step 3: Cross multiply
    595,271.64x = 821,484.80 × 323,340.06
  4. Step 4: Simplify right side
    595,271.64x = 265,618,944,521.09
  5. Step 5: Solve for x
    x = 265,618,944,521.09/595,271.64
  6. Step 6: Final answer
    x = 446,214.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.